TCS NQT Aptitude Questions 2026: 30 Solved MCQs + Key
30 TCS NQT-pattern numerical MCQs with answer key and worked solutions. Sit the set in 35 minutes to match exam pacing, then run the 30-day plan.
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Last Updated: June 2026
The TCS NQT 2026 numerical ability (aptitude) section is candidate-reported as standard placement-level arithmetic, where the difficulty comes from tight per-question time pressure, not concept depth, with no negative marking. This page gives 30 solved NQT-level MCQs plus a reported topic map. Exact question counts and cutoffs vary by cycle, so confirm on the official TCS iON NQT portal.
| Key | Value (candidate-reported, confirm on official TCS iON NQT portal) |
|---|---|
| Section | Numerical Ability (Foundation aptitude) |
| Difficulty | Moderate, time-pressure driven |
| Negative marking | None reported |
| High-weight topics | Percentages, profit and loss, ratios, TSD, time and work |
| Practice set on this page | 30 solved MCQs with worked solutions |
| Question count and timing | 20 questions in 25 minutes in Part A Foundation; no published cutoff. Confirm on TCS iON |
This page is a focused practice set for the TCS NQT numerical ability section, built around the topic mix candidates report from recent NQT cycles. It gives you a topic map, 30 solved MCQs at NQT-level difficulty, an answer key, full worked solutions, and a prep plan. Numerical Ability runs 20 questions in 25 minutes inside Part A Foundation of the integrated 83-question test, and TCS publishes no section cutoff. Always confirm the live pattern on the official TCS iON NQT portal before your slot.
TCS NQT Numerical Ability: Reported Topic Map
Candidates consistently report the following topic spread for the NQT numerical ability section. Treat the question counts as indicative, not official, and verify the current pattern on the official TCS careers and TCS iON NQT pages.
| Topic | Reported Weight | Priority |
|---|---|---|
| Percentages, Profit and Loss | High | First |
| Ratios, Proportion, Mixtures | High | First |
| Time and Work, Pipes | Medium | Second |
| Time, Speed, Distance, Trains | Medium | Second |
| Averages, Ages | Medium | Second |
| Number System, LCM and HCF | Medium | Third |
| Simple and Compound Interest | Low to Medium | Third |
| Basic Data Interpretation | Low to Medium | Third |
The section is widely described as time-pressured rather than conceptually hard. The marks are won by solving the high-frequency arithmetic fast enough to leave time for the harder middle tier.
Practice Set: 30 Numerical Ability MCQs
Sit this set in 35 minutes to simulate NQT pacing.
Q1. A shopkeeper sells an article at 25% profit. If the cost price is ₹240, find the selling price.
A) ₹280 B) ₹290 C) ₹300 D) ₹320
Q2. 35% of a number is 70. What is the number?
A) 180 B) 190 C) 200 D) 220
Q3. After two successive discounts of 10% and 20%, an item marked ₹1000 sells for:
A) ₹700 B) ₹720 C) ₹740 D) ₹760
Q4. A man buys 6 oranges for ₹5 and sells 5 oranges for ₹6. Find his profit percentage.
A) 38% B) 42% C) 44% D) 50%
Q5. The ratio of two numbers is 3:4 and their sum is 84. Find the larger number.
A) 36 B) 42 C) 48 D) 54
Q6. Divide ₹1500 among A, B, C in ratio 2:3:5. Find B's share.
A) ₹300 B) ₹450 C) ₹500 D) ₹600
Q7. A 60-litre mixture has milk and water in ratio 3:2. How much milk to add for ratio 2:1?
A) 10 litres B) 12 litres C) 15 litres D) 18 litres
Q8. A and B can do a work in 12 and 18 days. Together, how many days?
A) 6.2 B) 7.2 C) 8.0 D) 9.0
Q9. A pipe fills a tank in 8 hours; a leak empties it in 12 hours. With both, time to fill?
A) 18 hours B) 20 hours C) 24 hours D) 28 hours
Q10. A train 150 m long crosses a platform 250 m long in 20 seconds. Find its speed in km/hr.
A) 64 B) 68 C) 72 D) 76
Q11. A car covers 180 km in 3 hours. What distance in 5 hours at the same speed?
A) 280 km B) 300 km C) 320 km D) 340 km
Q12. The average of 5 numbers is 40. If one is removed, the average becomes 35. Find the removed number.
A) 55 B) 58 C) 60 D) 62
Q13. The present ages of A and B are in ratio 4:5. After 5 years, the ratio is 5:6. Find A's age.
A) 18 B) 20 C) 22 D) 24
Q14. The HCF of two numbers is 9 and their LCM is 90. If one number is 18, find the other.
A) 36 B) 45 C) 54 D) 63
Q15. The simple interest on ₹6000 at 5% for 4 years is:
A) ₹1100 B) ₹1200 C) ₹1300 D) ₹1400
Q16. The compound interest on ₹5000 for 2 years at 10% is:
A) ₹1010 B) ₹1030 C) ₹1050 D) ₹1100
Q17. A number increased by 20% gives 144. Find the original.
A) 110 B) 115 C) 120 D) 125
Q18. If 8 men finish a job in 15 days, how many days for 10 men?
A) 10 B) 12 C) 14 D) 16
Q19. Two numbers are in ratio 5:6. If 8 is subtracted from each, the ratio becomes 4:5. Find the smaller.
A) 36 B) 40 C) 44 D) 48
Q20. A boat goes 20 km downstream in 2 hours and 12 km upstream in 2 hours. Find boat speed in still water.
A) 7 km/hr B) 8 km/hr C) 9 km/hr D) 10 km/hr
Q21. The cost of 4 books and 5 pens is ₹112. The cost of 5 books and 4 pens is ₹122. Find the cost of one book.
A) ₹16 B) ₹18 C) ₹20 D) ₹22
Q22. A sum doubles in 8 years at simple interest. Find the rate per annum.
A) 10% B) 11.5% C) 12.5% D) 15%
Q23. The population of a town is 50000. It increases by 10% in the first year and 20% in the second. Find the final population.
A) 64000 B) 65000 C) 66000 D) 68000
Q24. A bag has 4 red and 6 blue balls. Probability of drawing a red?
A) 2/5 B) 3/5 C) 1/2 D) 1/5
Q25. The angle between clock hands at 3:30 is:
A) 70° B) 75° C) 80° D) 85°
Q26. A shopkeeper marks goods 40% above cost and gives a 25% discount. Find profit percentage.
A) 4% B) 5% C) 6% D) 8%
Q27. A man spends 80% of his income. If income rises 25% and expenditure rises 10%, find the percentage increase in savings.
A) 65% B) 75% C) 80% D) 85%
Q28. The sum of three consecutive even numbers is 84. Find the largest.
A) 28 B) 30 C) 32 D) 34
Q29. A wheel of radius 21 cm makes 100 revolutions. Distance covered? (Use pi = 22/7.)
A) 120 m B) 132 m C) 140 m D) 150 m
Q30. If 20% of A equals 25% of B, find A:B.
A) 4:5 B) 5:4 C) 2:3 D) 3:2
Answer Key
| Q | Ans | Q | Ans | Q | Ans | Q | Ans | Q | Ans |
|---|---|---|---|---|---|---|---|---|---|
| 1 | C | 7 | B | 13 | B | 19 | B | 25 | B |
| 2 | C | 8 | B | 14 | B | 20 | B | 26 | B |
| 3 | B | 9 | C | 15 | B | 21 | B | 27 | D |
| 4 | C | 10 | C | 16 | C | 22 | C | 28 | B |
| 5 | C | 11 | B | 17 | C | 23 | C | 29 | B |
| 6 | B | 12 | C | 18 | B | 24 | A | 30 | B |
Worked Solutions
Q1. SP = 240 × 1.25 = 300. Answer: C.
Q2. 35% = 70, so 1% = 2, number = 200. Answer: C.
Q3. 1000 × 0.9 × 0.8 = 720. Answer: B.
Q4. Use LCM 30 oranges. CP = 30/6 × 5 = 25. SP = 30/5 × 6 = 36. Profit = 11/25 × 100 = 44%. Answer: C.
Q5. Ratio 3:4, sum 7 parts = 84, 1 part = 12, larger = 4 × 12 = 48. Answer: C.
Q6. Total parts 10. B = 3/10 × 1500 = 450. Answer: B.
Q7. 60 litres in 3:2 means milk 36, water 24. For ratio 2:1 with water fixed at 24, milk must reach 48. Add 48 - 36 = 12 litres. Answer: B.
Q8. Combined rate = 1/12 + 1/18 = 3/36 + 2/36 = 5/36. Time = 36/5 = 7.2 days. Answer: B.
Q9. Net rate = 1/8 - 1/12 = 3/24 - 2/24 = 1/24. Time = 24 hours. Answer: C.
Q10. Distance = 150 + 250 = 400 m in 20 s = 20 m/s = 72 km/hr. Answer: C.
Q11. Speed = 180/3 = 60 km/hr. In 5 hours = 300 km. Answer: B.
Q12. Total of 5 = 200. Total of 4 = 140. Removed = 60. Answer: C.
Q13. (4x + 5)/(5x + 5) = 5/6. 6(4x + 5) = 5(5x + 5), 24x + 30 = 25x + 25, x = 5. A's age = 4x = 20. Answer: B.
Q14. Other = HCF × LCM / one = 9 × 90 / 18 = 810/18 = 45. Answer: B.
Q15. SI = 6000 × 5 × 4/100 = 1200. Answer: B.
Q16. A = 5000 × 1.1² = 6050. CI = 1050. Answer: C.
Q17. 1.2 × original = 144, original = 120. Answer: C.
Q18. 8 men × 15 days = 120 man-days. 120/10 = 12 days. Answer: B.
Q19. (5x - 8)/(6x - 8) = 4/5. 5(5x - 8) = 4(6x - 8), 25x - 40 = 24x - 32, x = 8. Smaller = 5x = 40. Answer: B.
Q20. Downstream = 20/2 = 10, upstream = 12/2 = 6. Still water = (10 + 6)/2 = 8 km/hr. Answer: B.
Q21. 4b + 5p = 112 and 5b + 4p = 122. Add: 9b + 9p = 234, so b + p = 26. Subtract the first from the second: b - p = 10. Solving, b = 18 and p = 8. Cost of one book = ₹18. Answer: B.
Q22. Doubles in 8 years means SI = principal, R = 100/8 = 12.5%. Answer: C.
Q23. 50000 × 1.1 × 1.2 = 50000 × 1.32 = 66000. Answer: C.
Q24. P(red) = 4/10 = 2/5. Answer: A.
Q25. At 3:30, minute hand at 180°, hour hand at 3×30 + 30×0.5 = 90 + 15 = 105°. Difference = 75°. Answer: B.
Q26. CP 100, MP 140, SP = 140 × 0.75 = 105. Profit = 5%. Answer: B.
Q27. Income 100, expenditure 80, savings 20. New income = 125, new expenditure = 80 × 1.1 = 88, new savings = 125 - 88 = 37. Increase = 17/20 × 100 = 85%. Answer: D.
Q28. Three consecutive even numbers: middle = 84/3 = 28, so 26, 28, 30. Largest = 30. Answer: B.
Q29. Circumference = 2 × 22/7 × 21 = 132 cm. Distance = 132 × 100 = 13200 cm = 132 m. Answer: B.
Q30. 0.2A = 0.25B, A/B = 0.25/0.2 = 5/4. A:B = 5:4. Answer: B.
30-Day TCS NQT Aptitude Prep Plan
| Phase | Days | Focus |
|---|---|---|
| Foundation | 1-10 | Percentages, profit-loss, ratios, averages, daily timed drills |
| Build | 11-20 | Time-work, time-speed-distance, number systems, interest |
| Simulate | 21-27 | Full timed numerical sections, review by root cause |
| Taper | 28-30 | Formula revision and error-log review, no new material |
Candidates report that the section is won not by attempting every question but by banking the high-frequency arithmetic with high accuracy and managing the clock. There is no published section cutoff and no negative marking, so attempt everything you can reach. Confirm the live section timing on the official TCS iON NQT portal before your test.
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Frequently Asked Questions
What does the TCS NQT aptitude section cover?
The TCS NQT numerical ability section covers arithmetic (percentages, profit and loss, ratios, averages), time-speed-distance, time and work, number systems, and basic data interpretation. It runs 20 questions in 25 minutes inside Part A Foundation, and TCS publishes no section cutoff. Confirm the live pattern on the official TCS iON NQT portal before your test.
How hard is the TCS NQT aptitude section?
Candidates generally describe the numerical ability section as moderate, with the difficulty coming from time pressure rather than concept depth. The arithmetic is standard placement-level, but the per-question time budget is tight, so speed and accuracy matter more than advanced techniques.
How should I prepare for TCS NQT aptitude in 30 days?
Spend the first two weeks on the high-frequency arithmetic topics, then two weeks on full timed sections. Candidates report that practicing under a strict clock and reviewing every wrong answer by root cause is the most reliable path to a strong numerical showing.
Sources and review notesreviewed 4 Aug 2026
Official notices, candidate reports, offer documents, and editorial practice questions carry different confidence levels. The visible source list lets you inspect the evidence instead of relying on a blanket verification badge.
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